Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040bk |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.4506584150538E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1648056,-763174800] |
[a1,a2,a3,a4,a6] |
Generators |
[16013:2019550:1] |
Generators of the group modulo torsion |
j |
120859257477573578809/8424459021127500 |
j-invariant |
L |
4.5706583633581 |
L(r)(E,1)/r! |
Ω |
0.13383164000383 |
Real period |
R |
4.2690375415439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630j4 |
Quadratic twists by: -4 |